2564646120 has 192 divisors, whose sum is σ = 8837936640. Its totient is φ = 643852800.

The previous prime is 2564646109. The next prime is 2564646121. The reversal of 2564646120 is 216464652.

2564646120 is a `hidden beast` number, since 2 + 5 + 6 + 4 + 646 + 1 + 2 + 0 = 666.

2564646120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2564646121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 409815 + ... + 416025.

It is an arithmetic number, because the mean of its divisors is an integer number (46030920).

Almost surely, 2^2564646120 is an apocalyptic number.

2564646120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2564646120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4418968320).

2564646120 is an abundant number, since it is smaller than the sum of its proper divisors (6273290520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2564646120 is a wasteful number, since it uses less digits than its factorization.

2564646120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6296 (or 6289 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 2564646120 is about 50642.3352542120. The cubic root of 2564646120 is about 1368.8078356746.

The spelling of 2564646120 in words is "two billion, five hundred sixty-four million, six hundred forty-six thousand, one hundred twenty".